But the gain or loss from gambling is average gain per gamble \(\times\) number of gambles.
Based on history, the bet is definitely in our favor.
Play for a long time \(\Rightarrow\) almost certainly come out ahead.
But how far ahead is quite uncertain.
mean 34.54
std 38.89
min 1.95
10% 7.97
25% 13.43
50% 23.04
75% 42.67
90% 73.60
max 486.01
dtype: float64
Uncertainty about long-run returns \(\Rightarrow\) uncertainty about retirement plans.